I don't think any of your choices are posh and I like all them all, but would be concerned that Emilia would consistently be misheard as Amelia and she would be constantly correcting people (I know a number of Emilia's and this happens to them regularly).

They're all timeless and gorgeous. Put it this way: they would all sound respectable off DD decided to do med/PhD and you put Dr in front of them. Dr Verity, Dr Emilia, Dr Clara. I think that's normally a good sign and it's the test I use personally...you do, after all want to give them scope to become anything. And if they're not high fliers/ want to get by on their looks then they all sound pretty, too! ;-)

I think they sound posh. (But then I'm the opposite of posh ) but I don't see what is wrong with that. They can still be pretty names, not my taste (apart from Emilia, which I love!) but if you like them, then I don't see why it matters.

Ummm . like the poster above said, if met individually....no. If I had to choose one, it would be Verity but to be perfectly honest whenever I think about whether a name is posh or not, I imagine it being called in different regional accents. This quickly eliminates ANY name from being posh!